ODE No. 1051

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ \left (4 x^2-3\right ) y(x)-e^{x^2}+y''(x)-4 x y'(x)=0 \] Mathematica : cpu = 0.0373374 (sec), leaf count = 44

\[\left \{\left \{y(x)\to c_1 e^{(x-1) x}+\frac {1}{2} c_2 e^{(x-1) x+2 x}-e^{(x-1) x+x}\right \}\right \}\] Maple : cpu = 0.078 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={{\rm e}^{x \left ( 1+x \right ) }}{\it \_C2}+{{\rm e}^{x \left ( x-1 \right ) }}{\it \_C1}-{{\rm e}^{{x}^{2}}} \right \} \]